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Finding the Fourth Proportional to 501.90, 692.86 and 302.82

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Solution

The fourth proportional to 501.90, 692.86 and 302.82 is: 418.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.90 : 692.86 = 302.82 : x
  2. Step 2: Convert to fraction form
    501.90/692.86 = 302.82/x
  3. Step 3: Cross multiply
    501.90x = 692.86 × 302.82
  4. Step 4: Simplify right side
    501.90x = 209,811.87
  5. Step 5: Solve for x
    x = 209,811.87/501.90
  6. Step 6: Final answer
    x = 418.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.